Isaac Scientific Publishing

Theoretical Physics

Arguments For and Against Limited Relativistic Transformations for Any Signal Velocity

Download PDF (326.3 KB) PP. 44 - 50 Pub. Date: March 21, 2017

DOI: 10.22606/tp.2017.21007


  • Mario Rabinowitz*
    Armor Research, 715 Lakemead Way, Redwood City, CA 94062-3922 USA


Time dilation derived here from relativistic Least Action couples relativistic mass and time transformations. This is an argument against time dilation for other than the signal speed of light c . Because c is the paramount signal velocity in Special Relativity, we examine the extent to which limited relativistic transformations of time dilation and length contraction might occur for any signal velocity, C < c , provided that the relative frame velocity v <<< C . Such relativistic effects depending on C may be detectable in a narrow range. If allowed by nature and confirmed by experiment, this will alter our views of space-time. Known experiments do not rule this out. The total resultant velocity v3 cannot exceed C in the Einstein addition of velocities due to the condition v <<< C . A derivation is presented which together with experiment rules out mass transformation unless the signal velocity is the speed of light.


Limited time and length transformations, relativistic least action, universal relativistic effects, time dilation, length contraction, relativistic mass increase, generalized signal velocity, special relativity.


[1] A. Einstein, “On the electrodynamics of moving bodies,” Annalen der Physik, vol. 17, pp. 891- 921, 1905.

[2] M. Rabinowitz, “Thoroughly testing Einstein’s special relativity theory, and more,” Journal of Modern Physics, vol. 7, pp. 87-105, 2016.

[3] S. Rainville et al, “A direct test of E=mc2,” Nature, vol. 438, pp. 1096 – 1097, 2005.

[4] J. D. Jackson, Classical Electrodynamics, p.319, Wiley, 1975.

[5] A. Einstein, “How I created the theory of relativity,” Physics Today vol. 35 no.8 pp. 45-47,1982.

[6] H. A. Lorentz. in Vereenvoudigde Theorie der Electrische en Optische Verschijnselen in Lichamen, die Zich Bewegten Korpern, Koninklijke Akad. Wetenschappen, 1899.

[7] H. A. Lorentz, “Simplified theory of electrical and optical phenomena in moving systems,” Proc. Royal Netherlands Acad. of Arts and Sciences, vol. 1, pp. 427, 1899.

[8] M. Rabinowitz, “General derivation of mass-energy relation without electrodynamics or Einstein’s postulates,” J. Mod. Phys. vol. 6, pp.1243-1248, 2015.

[9] J. Larmor, “A dynamical theory of the electric and luminiferous medium Part III,” Phil. Trans. Roy. Soc. 190, pp. 205-289, 1897.

[10] H. A. Lorentz, “Electromagnetic phenomena in a system moving with any velocity smaller than that of light,” Proc. Royal Netherlands Acad. of Arts and Sciences, vol.6, pp. 809–831, 1904.

[11] A. Einstein, “Does the inertia of a body depend upon its energy-content,” Annalen der Physik, vol. 18, pp. 639- 641, 1905.

[12] F. Hasen?hrl, “On the theory of radiation between bodies,” Annalen der Physik, vol. 320, pp. 344-370 1904.